We divide 371561 by 59
We're looking to find how many times 59 goes into 371561.

Advancing to step 1:
If we divide 3 by 59, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 59

Let's proceed to step 2:
59 can be fit into 37 0 times, resulting in a remainder of 37.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 37 leaves us with 37.
Append the next digit (1) from the dividend to 37 and continue with: 371 / 59

Moving on to step 3:
The number 59 fits into 371 6 times, leaving a remainder of 17.
Write down 6 as next digit of the result. 
Result so far: 6.0
Subtracting 354 from 371 leaves us with 17.
Take the next digit (5) from the dividend and append it to 17, then repeat: 175 / 59

Step 4:
When dividing 175 by 59, we get 2 with a remainder of 57.
Use 2 as the next digit of our solution. 
Result so far: 62.0
The remainder is 57 after subtracting 118 from 175.
Include the next digit (6) from the dividend after 57, then repeat: 576 / 59

Moving on to step 5:
59 can be fit into 576 9 times, resulting in a remainder of 45.
Use 9 as the next digit of our solution. 
Result so far: 629.0
Deduct 531 from 576 and we're left with 45.
Bring next digit (1) of the dividend behind the 45 and repeat the process: 451 / 59

Going ahead to step 6:
When dividing 451 by 59, we get 7 with a remainder of 38.
The number 7 becomes the next digit in our result. 
Result so far: 6297.0
Deduct 413 from 451 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 7:
59 can be fit into 380 6 times, resulting in a remainder of 26.
The next digit of our result is 6. 
Result so far: 6297.6
If we take 354 away from 380, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 8:
When dividing 260 by 59, we get 4 with a remainder of 24.
Write down 4 as next digit of the result. 
Result so far: 6297.64
Subtracting 236 from 260 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 9:
When dividing 240 by 59, we get 4 with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 6297.644
Subtracting 236 from 240 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 6297.644, and the remainder is 0.0004.